The wavelength for a particle (moving in a ring) is (2 π)-1 / 2 exp (2 i φ), where φ is the polar angle. The probability of finding the particle in a small interval d φ when the value of φ=π / 2 is

(b) d φ / 2 π. Explanation: |ψ|²dφ = (1/2π)dφ, independent of φ (b).

The wavelength for a particle (moving in a ring) is (2 π)-1 / 2 exp (2 i φ), where φ is the polar angle. The… · ABC26PH0772

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Particle In A Box · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

The wavelength for a particle (moving in a ring) is $(2 \pi)^{-1 / 2} \exp (2 \mathrm{i} \phi)$, where $\phi$ is the polar angle. The probability of finding the particle in a small interval $\mathrm{d} \phi$ when the value of $\phi=\pi / 2$ is

(a)$\mathrm{d} \phi$

(b)$\mathrm{d} \phi / 2 \pi$

(c)$\mathrm{d} \phi \exp (\mathrm{i} \pi)$

(d)$\mathrm{d} \phi \exp (\mathrm{i} \pi) / 2 \pi$

Answer

Answer: B ✓ checked by 4AB · confidence high

Explanation

|ψ|²dφ = (1/2π)dφ, independent of φ (b).

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